Tiffany had 64 cherry and vanilla cupcakes. After giving away
17 of her cherry cupcakes and 12 of her vanilla cupcakes, she had an equal number of cherry and vanilla cupcakes. How many vanilla cupcakes did she have at first?
| |
Cherry cupcakes |
Vanilla cupcakes |
Total |
| Before |
7 u |
6 u + 12 |
64 |
| Change |
- 1 u |
- 12 |
|
| After |
6 u |
6 u |
|
Fraction of the cherry cupcakes left
= 1 -
17=
67 The number of cherry and vanilla cupcakes in the end is the same.
Total number of cupcakes at first
= 7 u + 6 u + 12
= 13 u + 12
13 u + 12 = 64
13 u = 64 - 12
13 u = 52
1 u = 52 ÷ 13 = 4
Number of vanilla cupcakes at first
= 6 u + 12
= 6 x 4 + 12
= 24 + 12
= 36
Answer(s): 36
